Geometrically exact Cosserat rods with Kelvin-Voigt type viscous damping

Linn J, Lang H, Tuganov A (2012)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2012

Event location: Stuttgart DE

Abstract

We present the derivation of a simple viscous damping model of Kelvin–Voigt type for geometrically exact Cosserat rods from three–dimensional continuum theory. Assuming a homogeneous and isotropic material, we obtain explicit formulas for the damping parameters of the model in terms of the well known stiffness parameters of the rod and the retardation time constants defined as the ratios of bulk and shear viscosities to the respective elastic moduli. We briefly discuss the range of validity of our damping model and illustrate its behaviour with a numerical example.

Authors with CRIS profile

Holger Lang Institute of Applied Dynamics

Additional Organisation(s)

Institute of Applied Dynamics

Related research project(s)

Complex frequency response for linear viscoelastic beams of Kelvin-Voigt type Jan. 1, 2011 - June 30, 2021

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Linn, J., Lang, H., & Tuganov, A. (2012). Geometrically exact Cosserat rods with Kelvin-Voigt type viscous damping. In Proceedings of the The Second Joint International Conference on Multibody System Dynamics IMSD. Stuttgart, DE.

MLA:

Linn, Joachim, Holger Lang, and Andrey Tuganov. "Geometrically exact Cosserat rods with Kelvin-Voigt type viscous damping." Proceedings of the The Second Joint International Conference on Multibody System Dynamics IMSD, Stuttgart 2012.

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